Helloo
Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=50</span><span>c=50</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅50)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅50)</span></span></span><span>2⋅-1</span></span></span>Simplify.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span>The result can be shown in both exact and approximate form.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span><span>x≈7.07106781,−<span>7.07106781
Have a nice day</span></span>
Change iny\change in x
change in y=4.4-2.2=2.2
change in x=11-5.5=5.5
slope=2.2\5.5=0.4
Answer:
4
Step-by-step explanation:
Every year, the world grows by 1.1%. Converting to a decimal, we can divide by 100 to get 1.1% = 0.011. This means that the world grows by 0.011 exponentially each year. To put this into an expression, we can add 1 to our percentage to get 1.011. This represents 1 = 100% (the original population) and the growth of 1.1% = 0.011. We multiply the rate including the growth by the population to get the population after one year. After the first year, we have
population * 1.011 as the new population after one year. We do that for every year, so the second year's population is population*(1.011)*(1.011) and so on. If x represents the amount of years, then the population can be represented as
(original population)*1.011ˣ
Therefore, to get from 7 billion to 7.31 billion, we have
7 billion * 1.011ˣ = 7.31 billion
divide both sides by 7 billion to relatively isolate the x
1.011ˣ = 7.31/7
Another way of writing this is
log (base 1.011) (7.31/7) = x
≈ 3.96
Rounding to the nearest whole number, we get 4 as our answer
Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle
<h3>What is Pythagoras theorem</h3>
The theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides
For a triangle to be right angled, it must obey the law.
Given
Hypotenuse =√36
Other sides = √18 and √18
(√36)² = 36
(√18)²+(√18)²= 18 + 18
(√18)²+(√18)² = 36
Since (√36)² = (√18)²+(√18)², hence the triangle WXY is a right angle
Learn more on Pythagoras theorem here: brainly.com/question/343682
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Answer:
use the distributive property
Step-by-step explanation:
Use the distributive property to rewrite the expression with the GCF factored out.
<u>Example</u>:
ab +ac +ad . . . . has terms with a common factor of 'a'
When the common factor is factored out, the distributive property tells you the equivalent is ...
= a(b +c +d)
If 'a' is the greatest common factor, then b, c, d are mutually prime and no more factors can be removed to outside the parentheses.